(((7-x)(0.9-x))/(0.9-2x)^2)=0.018

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Solution for (((7-x)(0.9-x))/(0.9-2x)^2)=0.018 equation: 


D( x )

(0.9-(2*x))^2 = 0

(0.9-(2*x))^2 = 0

(0.9-(2*x))^2 = 0

(0.9-2*x)^2 = 0

0.9-2*x = 0 // - 0.9

-2*x = -0.9 // : -2

x = -0.9/(-2)

x = 0.45

x in (-oo:0.45) U (0.45:+oo)

((7-x)*(0.9-x))/((0.9-(2*x))^2) = 0.018 // - 0.018

((7-x)*(0.9-x))/((0.9-(2*x))^2)-0.018 = 0

((7-x)*(0.9-x))/((0.9-2*x)^2)-0.018 = 0

((7-x)*(0.9-x))/((0.9-2*x)^2)+(-0.018*(0.9-2*x)^2)/((0.9-2*x)^2) = 0

(7-x)*(0.9-x)-0.018*(0.9-2*x)^2 = 0

0.928*x^2-7.8352*x+6.28542 = 0

0.928*x^2-7.8352*x+6.28542 = 0

0.928*x^2-7.8352*x+6.28542 = 0

DELTA = (-7.8352)^2-(0.928*4*6.28542)

DELTA = 7.8352^2-23.33147904

DELTA = 38.05888

DELTA > 0

x = ((7.8352^2-23.33147904)^(1/2)+7.8352)/(0.928*2) or x = (7.8352-(7.8352^2-23.33147904)^(1/2))/(0.928*2)

x = 0.5387931*((7.8352^2-23.33147904)^(1/2)+7.8352) or x = 0.5387931*(7.8352-(7.8352^2-23.33147904)^(1/2))

(x-0.5387931*(7.8352-(7.8352^2-23.33147904)^(1/2)))*(x-0.5387931*((7.8352^2-23.33147904)^(1/2)+7.8352)) = 0

((x-0.5387931*(7.8352-(7.8352^2-23.33147904)^(1/2)))*(x-0.5387931*((7.8352^2-23.33147904)^(1/2)+7.8352)))/((0.9-2*x)^2) = 0

((x-0.5387931*(7.8352-(7.8352^2-23.33147904)^(1/2)))*(x-0.5387931*((7.8352^2-23.33147904)^(1/2)+7.8352)))/((0.9-2*x)^2) = 0 // * (0.9-2*x)^2

(x-0.5387931*(7.8352-(7.8352^2-23.33147904)^(1/2)))*(x-0.5387931*((7.8352^2-23.33147904)^(1/2)+7.8352)) = 0

( x-0.5387931*((7.8352^2-23.33147904)^(1/2)+7.8352) )

x-0.5387931*((7.8352^2-23.33147904)^(1/2)+7.8352) = 0 // + -0.5387931*((7.8352^2-23.33147904)^(1/2)+7.8352)

x = -(-0.5387931*((7.8352^2-23.33147904)^(1/2)+7.8352))

x = 0.5387931*((7.8352^2-23.33147904)^(1/2)+7.8352)

( x-0.5387931*(7.8352-(7.8352^2-23.33147904)^(1/2)) )

x-0.5387931*(7.8352-(7.8352^2-23.33147904)^(1/2)) = 0 // + -0.5387931*(7.8352-(7.8352^2-23.33147904)^(1/2))

x = -(-0.5387931*(7.8352-(7.8352^2-23.33147904)^(1/2)))

x = 0.5387931*(7.8352-(7.8352^2-23.33147904)^(1/2))

x in { 0.5387931*((7.8352^2-23.33147904)^(1/2)+7.8352), 0.5387931*(7.8352-(7.8352^2-23.33147904)^(1/2)) }

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